body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Multiplying Polynomials

Continue to next subchapter

Exercise 61 Page 27

Begin with the Distributive Property.

- 7m^3-3m^2-m+17

Practice makes perfect

To simplify the given expression, we will use the Distributive Property to eliminate the second set of parentheses.

( -4m^3-m+10 )-(3m^3+3m^2-7)

Remove parentheses

-4m^3-m+10-(3m^3+3m^2-7)

Distribute -1

-4m^3-m+10-3m^3-3m^2+7

The next step in simplifying this expression is to identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable and the same exponent — can be combined.

-4m^3 - m + 10 - 3m^3- 3m^2 + 7 We found two pairs of like terms.

Two m^3-terms.
Two constant terms.

To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

-4m^3-m+10-3m^3-3m^2+7

CommutativePropAdd

Commutative Property of Addition

-4m^3-3m^3-m+10+7-3m^2

Add and subtract terms

-7m^3-m+17-3m^2

CommutativePropAdd

Commutative Property of Addition

-7m^3-3m^2-m+17

Subchapter links

Exercises p.25-27